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Finding the Fourth Proportional to 296.49, 409.14 and 163.71

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Solution

The fourth proportional to 296.49, 409.14 and 163.71 is: 225.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.49 : 409.14 = 163.71 : x
  2. Step 2: Convert to fraction form
    296.49/409.14 = 163.71/x
  3. Step 3: Cross multiply
    296.49x = 409.14 × 163.71
  4. Step 4: Simplify right side
    296.49x = 66,980.31
  5. Step 5: Solve for x
    x = 66,980.31/296.49
  6. Step 6: Final answer
    x = 225.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.